Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) Abstract: Iteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems, but even the smaller systems can be costly. We develop a method in which […]
Discrete Calculus studies discrete structures, such as sequences and graphs, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide […]
Title: Sequential: A Meditation on Recurrence Speaker: Ghassan Sarkis, Department of Mathematics, Pomona College Abstract: Though I will share some adventures in sequence-generating neural networks just for fun, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives, including questions about periods of the modular […]
Title: Modeling size distributions and collisions in cloud microphysics Abstract: Feedbacks between a warming atmosphere, emission of aerosols, and clouds and precipitation are one of the most difficult aspects for climate models to accurately capture. While these models operate at resolutions of tens or hundreds of kilometers, many of the physics that determine how and […]
It is elementary and well known that a nonzero polynomial in one variable of degree d with coefficients in a field F has at most d zeros in F. It […]
Title: A Brief History of Calculating Machines Speaker: Yousef Daneshbod, Department of Mathematics, University of La Verne Abstract: Calculating machines are digital or analog devices designed to perform mathematical calculations. These machines have a long history, with the earliest known examples dating back to ancient times, when people used sticks and stones for counting. However, the […]
We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann Hypothesis) concerning the bias of cubic Gauss sums. This explains […]
In this panel we will have people from diverse backgrounds talking about their career pathways. The event will be fully online in the following link: https://cgu.zoom.us/j/89142368885?pwd=YkhkV24zbUZRV0p2d2xEelZtUmFmdz09Meeting ID: 891 4236 8885Passcode: 314159 We will have panelist's introductions at the beginning, and then the remaining time in breakout rooms so that our students and faculty can ask more […]
In a remarkable series of papers Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers, and independently Olga Kharlampovich and […]
Public key quantum money is a replacement for paper money which has cryptographic guarantees against counterfeiting. We propose a new idea for public key quantum money. In the abstract sense, […]
The Claremont Center for the Mathematical Sciences (CCMS) Math Colloquium series begins with a student research poster session, showcasing the mathematical work of all students at the Claremont Colleges. Please join us on Wednesday, September 6th, in the Estella Courtyard at Pomona College to see the wealth of research projects that Claremont math students have […]
